LCM of 913, 742, 498, 705, 931
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 742, 498, 705, 931 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 913, 742, 498, 705, 931. So, keep reading to learn more.
Given numbers are 913,742,498,705,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,742,498,705,931 is 63520724190.
Find LCM of 913,742,498,705,931 with Prime Factorization
| 2 | 913, 742, 498, 705, 931 |
| 3 | 913, 371, 249, 705, 931 |
| 7 | 913, 371, 83, 235, 931 |
| 83 | 913, 53, 83, 235, 133 |
| 11, 53, 1, 235, 133 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 83 x 11 x 53 x 1 x 235 x 133 = 63520724190
Therefore, the lowest common multiple of 913,742,498,705,931 is 63520724190.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
913 x 742 x 498 x 705 x 931 = 221433244526340
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
913 : 1, 11, 83, 913
742 : 1, 2, 7, 14, 53, 106, 371, 742
498 : 1, 2, 3, 6, 83, 166, 249, 498
705 : 1, 3, 5, 15, 47, 141, 235, 705
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,742,498,705,931, is 1.
Now, the common factors can be found like this.
913:11x 83
742:2x 7x 53
498:2x 3x 83
705:3x 5x 47
931:7x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 83 = 3486
Therefore, the value for common factors is 3486.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 221433244526340/(1x3486)
LCM = 221433244526340/3486
LCM = 63520724190
Thus, we can understand that the LCM of 913,742,498,705,931 is 63520724190.
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FAQs on LCM of 913, 742, 498, 705, 931
1. What is the LCM of 913, 742, 498, 705, 931?
Answer: LCM of 913, 742, 498, 705, 931 is 63520724190.
2. How to calculate the LCM of 913, 742, 498, 705, 931?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 913, 742, 498, 705, 931.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.